Question

In each of the following numbers replace M by the smallest while number to make the resulting number divisible by 3:. a) 64 M 3 b) 46 M 46 c) 27 M 53

Answer 1

Step-by-step explanation:

Solution :

(i) 64 M 3

The given number = 64 M 3

For a number to be divisible by 3 sum of digits must be divisible by 3.

Sum of its digits = 6 + 4 + 3 = 13

The number next to 13 which is divisible by 3 is 15

Required smallest number = 15 - 13 = 2

Therefore, value of M is 2.

(ii) 46 M 46

The given number = 46 M 46

For a number to be divisible by 3 sum of digits must be divisible by 3.

Sum of its digits = 4 + 6 + 4 + 6 = 20

The number next to 20 which is divisible by 3 is 21

Required smallest number = 21 - 20 = 1

Therefore, value of M is 1.

(iii) 27 M 53

The given number = 27 M 53

For a number to be divisible by 3 sum of digits must be divisible by 3.

Sum of its digits = 2 + 7 + 5 + 3 = 17

The number next to 17 which is divisible by 3 is 18

Required smallest number = 18-17=1

Therefore, value of M is 1